r5.03.03 Taking into account the hypothesis of plane constraints in nonlinear behaviors

Summary:

This document describes a general method for integrating nonlinear behavior models (elastoplastic, viscoplastic, damaging,…) into plane stresses.

This is achieved by a static condensation method due to R. de Borst.

This method makes it possible to use the C_ PLAN modeling, or the COQUE_3D, DKT and TUYAU modeling, or the, and models for all the incremental behavior models of (STAT/DYNA) _ NON_LINE available in axisymmetric or in plane deformations.

• 1. Introduction
• 2. Difficulty integrating nonlinear behaviors into plane constraints
• 3. Principle of the treatment of plane stresses by the De Borst method
  • 3.1. Recall of Newton’s method
  • 3.2. Original approach
  • 3.3. Modified approach
• 4. Practical aspects of use
• 5. Bibliography
• 6. Document version history